We do not see "Configuration" section on Live Copy tab of page properties in our non-prod and prod AEM. We are only seeing "Source" and "Status" sections. But its visible in my local AEM.
All the properties are inherited from the OOTB path below: /libs/wcm/foundation/components/basicpage/v1/basicpage/tabs/livecopy/items/column/items/configuration
Please see if anyone has overridden the path and the configuration node might have been removed from the /apps path so it's not showing on the page. Once you add it back it, you should be able to see the configuration tab on all the pages.